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方差的分解

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方差的分解

1.方差的可分解性:

  • 指总的离差平方和可以分解为几个不同来源的平方和。

2.总方差的组成:

  • 组间平方和(分子):处理间方差
  • 组内平方和(分母):不是由于处理引起的方差
  • 可简化为:
  • 公式的理解:总平方和=组内平方和+组间平方和

Decomposition of variance

1.Decomposability of variance:

  • The total sum of squares of deviations can be decomposed into the sum of squares from several different sources.

2.Composition of total variance:

  • Inter group sum of squares (numerator): variance between treatments
  • Within group sum of squares (denominator): variance not caused by processing
  • Can be simplified as
  • Understanding the formula: Total sum of squares=sum of squares within groups+sum of squares between groups
方差的分解.1711683941.txt.gz · 最后更改: 2024/03/29 03:45 由 2104龚文滕